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If rocket engine ejects fuel at the rate...

If rocket engine ejects fuel at the rate `mu` kg/s with relative velocity `v_(r)`. At time t = 0, speed of rocket is u. Consider the value of acceleration due to gravity is constant and equal to g.

If rocket is in gravity free space then find velocity of rocket as function of time.

A

`u-v_(r). "In" ((M_(0))/(M_(0)-mut))`

B

`u+2v_(r).` "In" `((M_(0))/(M_(0)-mut))`

C

`u+v_(r)."in"((M_(0))/(M_(0)+mut))+`

D

`u+v_(r)."in"((M_(0))/(M_(0)-mut))`

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The correct Answer is:
D
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